All categories

3 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

8 0

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

You might be interested in

Graph the funtion f(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20-%202%7D" id="TexFormula1" title="\sqrt[3]{x - 2

Kruka [31]

This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of $\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],$ and $[10, 2]$ are all touched on this graph, letting you know that this information is accurate.

I am joyous to assist you at any time. ☺️

6 0

3 years ago

ANSWER #2 PLEASE :)

dmitriy555 [2]

Since figure t is twice the size of figure s, figure t would be twice the size of s. hence the answer would be a scale factor of 2.

3 0

2 years ago

100 equals 15 minus a number all divided by 5 A) x = 17 <br>B) x = -485<br>C) x = 33 <br>D) x=-17

siniylev [52]

A

Hope this helps

Mark brainliest please

8 0

3 years ago

h(t)=-5t^2+10t+3 is the height of a diver above the water, t seconds after the diver leaves the springboard. How high above the

Kobotan [32]

Answer:

3 units

Step-by-step explanation:

So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.

So we will need to find h(0)

h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3

5 0

3 years ago

If 4 is the constant of proportionality is this equation correct? y = 4x + 2

max2010maxim [7]

Answer:

4 is not the constant. 2 is.

Step-by-step explanation:

In the following equation: y = 4x + 2

x and y are variables. x can be any given number, and y would be the resulting answer.

4 is not the constant, because the product it will produce varies on what x will be.

2 is a constant, because it will not change regardless what is put into x. It will continue to stay as 2.

6 0

3 years ago